Precise Design of Solid Rocket Motor Heat Insulation Layer Thickness under Nonuniform Dynamic Burning Rate

Procedure 1

Parallel sampling point generation.

Input: Triangle set , axial discretizing resolution , circumferential discretizing resolution

1: , compute its coordinate range

2: Sort all triangles in according to

3: Initialize resulting sampling point set

4:

5: for all plane at coordinate serial do

6: Initialize resulting line-segment set

7: Remove from H

8: for all parallel do

9:  if then

10:   For each vertex of , compute its location identifier

11:   Look up in a pre-set table to find the intersecting edges of with

12:   if There are exactly 2 intersecting edges then

13:    Locate the 2 intersections via univariate interpolation with respect to

14:    Sort the 2 resulting points by their polar-coordinate

15:    Store the line-segment into

16:   end if

17:  end if

18: end for

19: Sort all line-segments in according to the polar-coordinate

20: Compute the polar-coordinate range of all line-segments in

21: On , generate rays which start from the center and distribute within 

22: for all parallel do

23:  Fetch intersecting rays of according to

24:  Locate the sampling points by solving the 2D intersection equations

25:  Store the sampling points into

26: end for

27: end for

28: return .